Determining a noisy quantum channel's classical capacity and entanglement cost generally requires regularization over many channel uses. We remove both regularizations for every qubit-to-qubit channel admitting a pure output. For each such channel, Holevo information, channel entanglement of formation, and parallel ent...
Ziao Tang, Cheng-Kai Zhu, Ge Bai et al.· 2 citations· ⚡1
We determine the preshared entanglement required for spatially separated parties, restricted to local operations and classical communication, to attain globally optimal probabilistic two-copy purification of arbitrary bipartite pure states under depolarizing noise. In every local dimension $d\ge 2$, one shared maximall...
Jia-Yi Zhao, Cheng-Kai Zhu, Xin Wang et al.· 0 citations
A three-level chain that widens optimization scope from individual matrices to Transformer blocks to the full model, with improvements only in perplexity and compression fidelity; downstream accuracy remains well below the dense model.
Hui-Cheng Zhang, Xi-Yao Feng, Ze-Tong Li et al.· 0 citations
The results make precise how permutation-based logical entangling constrains code design within the HGP framework is designed, demonstrate the circuit-level benefits of the unique family, and guide the search for phantom qLDPC families with better asymptotic parameters for low-overhead fault tolerance on neutral-atom h...
K. He, Ziao Tang, Zetong Li et al.· 0 citations
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